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3 years ago

the temperature in Minneapolis changed from -7°F at 6 AM to 7°F at noon. how much did the temperature increase?

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

The temperature increased by 14.

You can use a number line to think about this problem.

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The largest exponent in a polynomial is called its _____.

Galina-37 [17]

This is called the leading term

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3 years ago

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A frog sits at one end of a table which is 2m long. In its first jump the frog goes a distance of 1m along the table, with its s

Phantasy [73]

Ah, this is an infinite sum question, or a sum of geometric sequence
when will the sum reach 1cm of the edge or about 1.99m
so

2m=200cm
within 1cm means at least 1.99m
so
we will use m and not cm for consitancy

sum of geometric sequence is
$S_n= \frac{a_1(1-r^n)}{1-r}$
a1=first term=initial jjump=1
r=common ratio=1/2
n=?, we ar solving for that

so
we want it to equal 1.99 so

$1.99= \frac{1(1- (\frac{1}{2})^n)}{1-\frac{1}{2}}$
$1.99= \frac{(1- (\frac{1}{2})^n)}{\frac{1}{2}}$
$1.99= 2(1- (\frac{1}{2})^n)$
divide both sides by 2
$\frac{1.99}{2} = 1- (\frac{1}{2})^n$
times -1
$\frac{-1.99}{2} = (\frac{1}{2})^n-1$
add 1 or 2/2 to both sides
$\frac{0.01}{2} = (\frac{1}{2})^n$
take the ln of both sides
$ln(\frac{0.01}{2}) = ln((\frac{1}{2})^n)$
$ln(\frac{0.01}{2}) = n ln(\frac{1}{2})$
divide both sides by ln(1/2)
$\frac{ln(\frac{0.01}{2})}{ln(\frac{1}{2})} =n$
use your calculatro to find that n≈7.64386
so on 7th jump, it is not yet at 1cm to the edge but at 8th jump, it is past
so 8th jump

7 0

3 years ago

What is 6X + 9 + 2x

alukav5142 [94]

Answer:

8x + 9

Step-by-step explanation:

Combine 6x and 2x since they are "like variables" meaning they both contain an x, and write in standard form ax + bx + c

6 0

3 years ago

Convert:<br> 2 tons 15,000 ounces = <br> ounces

amm1812

Answer 79,000
explanation 1 ton is 32,000 ounces and you have 2 so you would have 64,000 and you add the extra 15,000 to get 79,000

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3 years ago

Mary is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect? Which coordinates if they do? Negat

Umnica [9.8K]

Answer:

The graphs of the two function will not intersect.

Step-by-step explanation:

We are given a quadratic function f(x).

Also g(x) is given by a set of values as:

x g(x)

1 -1

2 0

3 1

As g(x) is a linear function hence we find out the equation of g(x) by the slope intercept form of a line: y=mx+c

let g(x)=y

when x=1 , g(x)=-1

-1=m+c----(1)

when x=2 , g(x)=0

0=2m+c------(2)

Hence, on solving (1) and (2) by method of elimination we get:

m=1 and c=-2

Hence, the equation of g(x) is:

g(x)=x-2

So clearly from the graph we could see that the graph of the two functions will never intersect.

3 0

3 years ago

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